Of course he forgives you! any sin, from the smallest as a lie, to the greatest condemns us before God, but Jesus, the son of God, offered to bear what we deserved, and thus, living a holy life without sin, gives us the chance of when this world ends, to live together with him for ALL eternity, and as for what you said about god not doing anything for this world...well, he doesn't have anything to do for us anymore, he already did ALL because of us, giving up his only begotten son, but we, nailed him to a cross, but Jesus rose on the 3rd day, and since then, if we believe that Jesus died for our sins, and we give him our hearts (figuratively) he gives us He will forgive ALL sins, and when he comes to seek his Church at the Second Coming, he will take us with him, while the WHOLE world will remain in the world suffering for 7 years, but even in those years, God gives us the opportunity to believe in him, but it will no longer be enough to believe in Jesus...YOU WILL HAVE TO GIVE YOUR LIFE.
Romans 10:9 says "That if you confess with your mouth the Lord Jesus, and believe in your heart that God raised him from the dead, you will be saved"He forgives us even if we have had an abortion, killed someone, all the sin does not matter that we have, he forgives us everything, and also the bible in Micah 7:19 says "He will return, he will have mercy on us; he will subdue our iniquities, and will cast all our sins into the depths of the sea"